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Abstracts for Representation Theory Seminar

Alternatively have a look at the program.

A survey of the symmetric group for the working mathematician I

Posted in
Speaker: 
Rodolfo Rios-Zertuche
Affiliation: 
Princeton/MPI
Date: 
Tue, 14/10/2014 - 12:00 - 13:00
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

I will go over the combinatorics of partitions and symmetric functions and their relation to the representations of the symmetric group. Then I will explain the new point of view developed by Okounkov and Vershik. I will also cover other developments like the half-infinte wedge Fock space representation, and the methods available to deal with asymptotics of representation characters. I will focus especially on those methods inspired in statistical mechanics, such as the existence of limit shapes, and in their treatment using both variational calculus and stationary phase methods.

Illustrated guide to perverse sheaves I

Posted in
Speaker: 
G. Williamson
Affiliation: 
MPI
Date: 
Tue, 14/10/2014 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

This will be a mini-course (consisting of six or seven lectures) intended to give an informal introduction to perverse sheaves. Perverse sheaves are usually treated rather formally. I will try to give a more geometric introduction with lots of pictures, discussing in detail examples on curves and surfaces. I will also discuss nearby and vanishing cycles, characteristic cycles and some Hodge theoretic aspects. I will also discuss the decomposition theorem (with examples) as well as de Cataldo and Migliorini's Hodge theoretic proof.

A survey of the symmetric group for the working mathematician II

Posted in
Speaker: 
Rodolfo Rios-Zertuche
Affiliation: 
Princeton/MPI
Date: 
Tue, 21/10/2014 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

I will go over the combinatorics of partitions and symmetric functions and their relation to the representations of the symmetric group. Then I will explain the new point of view developed by Okounkov and Vershik. I will also cover other developments like the half-infinte wedge Fock space representation, and the methods available to deal with asymptotics of representation characters. I will focus especially on those methods inspired in statistical mechanics, such as the existence of limit shapes, and in their treatment using both variational calculus and stationary phase methods.

Illustrated guide to perverse sheaves II

Posted in
Speaker: 
G. Williamson
Affiliation: 
MPI
Date: 
Tue, 21/10/2014 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

This will be a mini-course (consisting of six or seven lectures) intended to give an informal introduction to perverse sheaves. Perverse sheaves are usually treated rather formally. I will try to give a more geometric introduction with lots of pictures, discussing in detail examples on curves and surfaces. I will also discuss nearby and vanishing cycles, characteristic cycles and some Hodge theoretic aspects. I will also discuss the decomposition theorem (with examples) as well as de Cataldo and Migliorini's Hodge theoretic proof.

Kazhdan-Lusztig cells in Coxeter groups I

Posted in
Speaker: 
Lars Jensen
Affiliation: 
MPI
Date: 
Tue, 28/10/2014 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

Illustrated guide to perverse sheaves III

Posted in
Speaker: 
G. Williamson
Affiliation: 
MPI
Date: 
Thu, 30/10/2014 - 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

This will be a mini-course (consisting of six or seven lectures) intended to give an informal introduction to perverse sheaves. Perverse sheaves are usually treated rather formally. I will try to give a more geometric introduction with lots of pictures, discussing in detail examples on curves and surfaces. I will also discuss nearby and vanishing cycles, characteristic cycles and some Hodge theoretic aspects. I will also discuss the decomposition theorem (with examples) as well as de Cataldo and Migliorini's Hodge theoretic proof.

Kazhdan-Lusztig cells in Coxeter groups II

Posted in
Speaker: 
Lars Jensen
Affiliation: 
MPI
Date: 
Tue, 04/11/2014 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

Illustrated guide to perverse sheaves IV

Posted in
Speaker: 
G. Williamson
Affiliation: 
MPI
Date: 
Tue, 04/11/2014 - 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

This will be a mini-course (consisting of six or seven lectures) intended to give an informal introduction to perverse sheaves. Perverse sheaves are usually treated rather formally. I will try to give a more geometric introduction with lots of pictures, discussing in detail examples on curves and surfaces. I will also discuss nearby and vanishing cycles, characteristic cycles and some Hodge theoretic aspects. I will also discuss the decomposition theorem (with examples) as well as de Cataldo and Migliorini's Hodge theoretic proof.

Kazhdan-Lusztig cells in Coxeter groups III

Posted in
Speaker: 
Lars Jensen
Affiliation: 
MPI
Date: 
Mon, 10/11/2014 - 13:00 - 14:30
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

Illustrated guide to perverse sheaves V

Posted in
Speaker: 
G. Williamson
Affiliation: 
MPI
Date: 
Thu, 13/11/2014 - 09:00 - 10:30
Location: 
MPIM Lecture Hall
Parent event: 
Representation Theory Seminar

This will be a mini-course (consisting of six or seven lectures) intended to give an informal introduction to perverse sheaves. Perverse sheaves are usually treated rather formally. I will try to give a more geometric introduction with lots of pictures, discussing in detail examples on curves and surfaces. I will also discuss nearby and vanishing cycles, characteristic cycles and some Hodge theoretic aspects. I will also discuss the decomposition theorem (with examples) as well as de Cataldo and Migliorini's Hodge theoretic proof.

 

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